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Finding the Third Proportional to 126,274 and 256,900

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Solution

The third proportional to 126,274 and 256,900 is: 522,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,274 : 256,900 = 256,900 : x
  2. Step 2: Convert to fraction form
    126,274/256,900 = 256,900/x
  3. Step 3: Cross multiply
    126,274x = 256,900 × 256,900
  4. Step 4: Simplify right side
    126,274x = 65,997,610,000
  5. Step 5: Solve for x
    x = 65,997,610,000/126,274
  6. Step 6: Final answer
    x = 522,653.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.